By chronogical order of preparation (older first):
A. Ceres, C. Costoya, and A. Viruel, "Hom-counting functions, combinatorial categories and related problems" [arXiv]
C. Costoya, R. Gomes and A. Viruel, "Rigidifying simplicial complexes and realizing group actions" [arXiv]
I. Alshatnawi, C. Costoya, and A. Viruel, "On the Grothendieck Ring of Finite-Dimensional Non-Degenerate Evolution Algebras" [arXiv]
C. Costoya, V. Muñoz, B. Valverde-Morales, and A. Viruel, "Realizing additive monoids as mapping degree sets" [arXiv]